Using Ratios

Est. Class Sessions: 2–3

Mathematical Standards

5.NF.A: Use equivalent fractions as a strategy to add and subtract fractions. (5.NF.A.1)
5.NF.B: Apply and extend previous understandings of multiplication and division. (5.NF.B.3, 5.NF.B.5)
5.G.A: Graph points on the coordinate plane to solve real-world and mathematical problems. (5.G.A.2)
5.OA.B: Analyze patterns and relationships. (5.OA.B.3)
5.MD.A: Convert like measurement units within a given measurement system. (5.MD.A.1)

Standards for Mathematical Practice

MP1.: Make sense of problems and persevere in solving them.
MP2.: Reason quantitatively.
MP3.: Construct viable arguments and critique the reasoning of others.
MP4.: Model with mathematics.
MP5.: Use appropriate tools strategically.
MP6.: Attend to precision.

Students learn to use ratios in the context of a school Fun Fair. They use ratios to produce patterns that help them find the cost of multiple items at a bake sale. They express ratios in words, tables, graphs, and fractions.

Content in this Lesson

Using words, tables, graphs, and fractions to express ratios [E1].
Using tables and graphs to find equivalent ratios [E3].
Using ratios to solve problems [E4].
Converting among different-sized measures within a given measurement system (feet to yards, quarts to gallons, etc.) [E6].
Making point graphs [E7].
Making predictions and generalizations using data tables and graphs [E8].
Solving open-ended problems and communicating thinking [MPE1, 2, 3, 5].

Daily Practice and Problems I–L

I. What Is My Length

J. Brandon the Babysitter

K. Multiply and Divide by Multiples of 10

L. Time Is Money

Materials for Students

		Daily Practice and Problems	Lesson	Homework	Assessment
Student Books	Student Guide		Using Ratios Pages 221–227	Using Ratios Homework section Pages 228–229
Student Books	Student Activity Book		Cost of Brownies Pages 207–210		Cost of Brownies Pages 207–210
Teacher Resources	Teacher Guide - digital	DPP Item I DPP Item J DPP Item K DPP Item L	Centimeter Graph Paper	Centimeter Graph Paper 4 copies per student

Supplies for Students

ruler

Materials for the Teacher

Display of Cost of Muffins Data Table Master (Teacher Guide)
Display of Cost of Muffins Graph Master (Teacher Guide)
Display of Using Ratios to Convert Between Yards and Feet Master (Teacher Guide)
Unit 5 Assessment Record

Assessment in this Lesson

Assessment	Expectation Assessed	Math Practices Expectation Assessed
Cost of Brownies with Feedback Box Student Activity Book Pages 207–210	E1. Represent and identify fractions and ratios (e.g., proper, improper, mixed number) using area models, number lines, tables, graphs, words, and symbols. E3. Find equivalent fractions and ratios using tools (e.g., area models, number lines, tables, graphs) and multiplication and division strategies. E4. Use ratios to solve problems. E7. Make a point graph and draw a best-fit line. E8. Make predictions and generalizations using tables and graphs.	MPE1. Know the problem. I read the problem carefully. I know the questions to answer and what information is important. MPE2. Find a strategy. I choose good tools and an efficient strategy for solving the problem. MPE3. Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again. MPE5. Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.